Two Phase Transitions in Chiral Gross-Neveu Model in $2+ ε$ Dimensions at Low N

Details Two Phase Transitions in Chiral Gross-Neveu Model in $2+ ε$ Dimensions at Low N Two Phase Transitions in Chiral Gross-Neveu Model in $2+ ε$ Dimensions at Low N

1998-09-16

arxiv.org/abs/hep-th/9809112v1

Phys.Lett. B438 (1998) 311-320

Physics

High Energy Physics

High Energy Physics - Theory

Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper also at http:/

Scientific paper

10.1016/S0370-2693(98)00983-6

We show that the chiral Gross-Neveu model in $2+ \epsilon$ dimensions has for a small number $N$ of fermions two phase transitions corresponding to pair formation and pair condensation. In the first transition, fermions and antifermions acquire spontaneously a mass and are bound to pairs which behave like a Bose liquid in a chirally symmetric state. In the second transition, the Bose liquid condenses into a coherent state which breaks chiral symmetry. This suggests the possibility that in particle physics, the generation of quark masses may also happen separately from the breakdown of chiral symmetry.

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